The structure of uniformly Gâteaux smooth Banach spaces

DOI10.1007/BF02772620zbMath1027.46012OpenAlexW1986216292MaRDI QIDQ5951492

Marian J. Fabian, Gilles Godefroy, Václav Zizler

Publication date: 13 March 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772620

zbMATH Keywords

Eberlein compactrenormingsmooth Banach spacesuniformly Gâteaux smoothness

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (21)

Super WCG Banach spaces ⋮ Inner characterizations of weakly compactly generated Banach spaces and their relatives ⋮ Weakly compact sets and smooth norms in Banach spaces ⋮ Renorming of $C(K)$ spaces ⋮ On non-separable \(L^1\)-spaces of a vector measure ⋮ Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property ⋮ Some Banach spaces added by a Cohen real ⋮ Hilbert-generated spaces. ⋮ Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness ⋮ Differential properties of the Moreau envelope ⋮ Lebesgue-Bochner spaces, decomposable sets and strong weakly compact generation ⋮ An Asplund space with norming Markuševič basis that is not weakly compactly generated ⋮ On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts ⋮ Hilbert generated Banach spaces need not have a norming Markushevich basis ⋮ Renormings of \(C(K)\) spaces ⋮ Super weak compactness and uniform Eberlein compacta ⋮ Pointwise uniformly rotund norms ⋮ Sigma-finite dual dentability indices ⋮ Uniformly Gâteaux smooth approximations on \(c_0(\varGamma)\) ⋮ Characterization of reflexivity by equivalent renorming ⋮ On weak compactness in \(L_1\) spaces

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